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Finding the Fourth Proportional to 13,090.50, 18,064.50 and 7,122.06

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Solution

The fourth proportional to 13,090.50, 18,064.50 and 7,122.06 is: 9,828.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,090.50 : 18,064.50 = 7,122.06 : x
  2. Step 2: Convert to fraction form
    13,090.50/18,064.50 = 7,122.06/x
  3. Step 3: Cross multiply
    13,090.50x = 18,064.50 × 7,122.06
  4. Step 4: Simplify right side
    13,090.50x = 128,656,452.87
  5. Step 5: Solve for x
    x = 128,656,452.87/13,090.50
  6. Step 6: Final answer
    x = 9,828.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.